1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bad White [126]
4 years ago
6

For the data set below, compute the standard deviation. Round to the nearest hundredth. 2, 3, 5, 8 2.03 2.20 2.6 4.5

Mathematics
1 answer:
exis [7]4 years ago
7 0
The \ standard \ deviation  = 
 \sqrt{ \frac{1}{n} \sum ( x_{i} -  \mu  )^2 } 
\\ where: \\
n \ is\  the \  number \  of  \ elements \\
 x_{i}  \ element  \ number \  i \\
\mu \ is \ the \ mean \ of \ the \ elements 


The elements are :
<span>                                2,3,5,8,2.03,2.20,2.6,4.5
n = 8

</span>μ = ( <span>2 + 3 + 5 + 8 + 2.03 + 2.20 + 2.6 + 4.5 )/8 = 3.66625

sum = (</span> 2 - <span>3.66625)² + ( 3 </span><span>- 3.66625)² + ( 5 </span><span>- 3.66625)² + ( 8 </span><span>- 3.66625)² +
( 2.03 </span><span>- 3.66625)² + ( 2.20 </span><span>- 3.66625)² + ( 2.6 </span><span>- 3.66625)² + ( 4.5 </span>- <span>3.66625)²
      = 30.44

∴ </span>The standard deviation = √ (30.44 / 8)
                                         ≈ 1.95 ( <span>to the nearest hundredth )</span>











You might be interested in
6^3+5^2= 18+5^2 true or false
BlackZzzverrR [31]
False always do the exponent first PEMDAS. 6^3+5^2= 241 and 18+5^2 would be 18+ 25
4 0
3 years ago
Read 2 more answers
What is the value of x?<br> O x = 32<br> x = 36<br> x = 37<br> O x = 40<br> (X + 15)<br> (4x – 20)
larisa [96]

Answer:

36 here are the best answer

7 0
3 years ago
Find the distance between the points (5,-6), (-3,12)
grigory [225]

Answer:

\displaystyle d = 2\sqrt{97}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (5, -6)

Point (-3, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>

  1. Substitute in points [Distance Formula]:                                                       \displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}
  2. [√Radical] (Parenthesis) Subtract/Add:                                                         \displaystyle d = \sqrt{(-8)^2+(18)^2}
  3. [√Radical] Evaluate Exponents:                                                                    \displaystyle d = \sqrt{64+324}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{388}
  5. [√Radical] Simplify:                                                                                     \displaystyle d = 2\sqrt{97}
8 0
3 years ago
Use the side-splitter theorem to solve for x in the triangle below
hoa [83]

Answer:

<h2>8</h2>

Step-by-step explanation:

In this case the side-splitter theorem states that :

\frac{x}{12} = \frac{6}{9} \\\\Then\\\\x = \frac{12*6}{9} = \frac{72}{9} =8

8 0
3 years ago
Read 2 more answers
If ​$450 is invested for one year at 14​% simple​ interest, how much interest is​ earned?
zavuch27 [327]

Answer:

63

Step-by-step explanation:

450 × 14 ÷ 100 = $63

hope this helps

8 0
3 years ago
Read 2 more answers
Other questions:
  • East High wants to estimate the number of seniors who plan to go to a 4-year college. 1) Which of the following surveys probably
    11·1 answer
  • Translate into an equation: a number divided by 212 equals 53 ( let the number be represented by n)
    7·2 answers
  • Which of the following transform equals y= x^2 to the graph of y=(x+5)^2?
    13·1 answer
  • Can you plz help me ASAP will mark brainliest
    15·1 answer
  • Graph the function f(x) = 2x − 4. Click the intercepts to show the coordinates.
    5·1 answer
  • You are standing 90 feet away from a tree that is 90 feet tall and looking at the top of the tree.
    11·1 answer
  • State whether the percent of change is an increase or decrease. 55 to 35?
    5·2 answers
  • For a given set of rectangles, the length varies inversely with the width. In one of
    12·1 answer
  • 9/5 as a mixed number
    9·2 answers
  • Given g(x)=3x+5 find g(-6)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!